FiniteGroups / CONCEPT
The fourth square-displacement coefficient
The next square-displacement coefficient is strictly negative for every natural q at least three, with an exact second cancellation and a nonzero full natural cubic scaling limit.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH6
DOCUMENT LINKS0
Strict sign, exact cancellation, compact formula, and full natural scaling
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- A fourth-order envelope for actual square-displacement countsstructural-affinity · Closed
- A uniform square-displacement envelope for actual countsstructural-affinity · Closed
- All-q square-displacement correction coefficientstructural-affinity · Closed
- Irrationality of Natural Logarithmsstructural-affinity · Closed
- Square-displacement profiles and coefficient scalingstructural-affinity · Closed
- The all-odd square-displacement thresholdstructural-affinity · Closed
- The corrected threshold bracket for all odd square displacementsstructural-affinity · Closed
- The Gaussian root, secant, and alpha boundsstructural-affinity · Closed
- The scale of the finite square-displacement remainderstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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